Answer:
69.01 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Tan = Opposite/Adjacent
The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...
tan(50°) = (h -1.65)/d
Rearranging to solve for d, we have ...
d = (h -1.65)/tan(50°)
The distance across the plaza from the second surveyor satisfies the relation ...
tan(30°) = (101.65 -h)/d
Rearranging this, we have ...
d = (101.65 -h)/tan(30°)
Equating these expressions for d, we can solve for h.
(h -1.65)/tan(50°) = (101.65 -h)/tan(30°)
h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)
We can divide by the coefficient of h and simplify to get ...
h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))
h ≈ 69.0148 ≈ 69.01 . . . . meters
The tip of the spire is 69.01 m above the plaza.
Answer:
yes
Step-by-step explanation:
why do you need this silly boy
Answer: 364 with a remainder of 28
Step-by-step explanation:
14952/41
41 goes into 149 3 times
149 - (41 *3)
149 - 123 = 26
41 goes into 265 6 times
265 - (41*6)
265 - 246 = 19
41 goes into 192 4 times
192 - (41*4)
192 - 164 = 28
So 14952/41 = 364 with a remainder of 28
-4 x is less than -4
x < -4
x will represent the number of tickets.
y will represent the fixed fee given by the ticket agency
6x + y = 135
3x + y = 75
To solve, we can use the process of elimination by multiplying the second equation by -2 so that 6y will cancel:
-6x - 2y = -150
+6y + y = 135
Now we simplify by adding/subtracting:
-y = -15 or y = 15
Plug the value of y into any of the two equations and solve for x. I will use the second equation:
3x + 15 = 75
3x = 60
x = 20
To set this up in slope intercept form (y = mx + b), we need to identify what m and b are.
m is x because it is not a fixed number, and b is y because it is a fixed number (price of “fixed” fee). This brings us to y = 20x + 15
